Reflection: Homework Angles Inscribed in Circles - Section 2: Inscribed Angle Measures

 

I had considered creating an entire lesson on proving the properties of quadrilaterals inscribed in circles and triangles inscribed in semi-circles. I opted not to do this, though, because I felt it robbed students of an opportunity to apply what they had learned in this lesson.

Essentially, those two lessons would have only required students to apply the fact that the measure of an inscribed angle is half the measure of the intercepted arc. So instead of creating those lessons, I chose to give students a homework assignment instead that required them to prove these relationships themselves. 

So rather than this being a standards checklist item, it ended up being a formative assessment for the inscribed angle theorem and students' ability to prove relationships in new contexts.

 

  Homework for the Inscribed Angle Theorem
  Homework: Homework for the Inscribed Angle Theorem
Loading resource...
 

Angles Inscribed in Circles

Unit 8: Circles
Lesson 1 of 5

Objective: SWBAT Prove the relationship between the measure of an angle inscribed in a circle and the measure of its intercepted arc.

Big Idea: Inscribed angles prove not to be half bad...and students prove that they are half the measure of their intercepted arcs.

  Print Lesson
3 teachers like this lesson
Standards:
Subject(s):
Math, Geometry, circles
  69 minutes
inscribed angle image
 
1
2
3
4
5
Similar Lessons
 
NPR Car Talk Problem - Day 1 of 2
12th Grade Math » Trigonometric Functions
Big Idea: This problem from NPR's Car Talk is engaging, challenging, and mathematically rich!
  Favorites(9)
  Resources(19)
Troy, MI
Environment: Suburban
Tim  Marley
 
Circles are Everywhere
Geometry » Circles
Big Idea: This lesson asks students to create real circles and then review key vocabulary connected with circles like diameter, radius, center, secant, tangent and center.
  Favorites(29)
  Resources(24)
Saratoga Springs, NY
Environment: Suburban
Stephanie Conklin
 
 
Something went wrong. See details for more info
Nothing to upload
details
close